You have not given us any of the steps that Ricardo took to simplify the
expression, and you also haven't given us the list of choices that includes
the description of his mistake, so you're batting O for two so far.
Other than those minor details, the question is intriguing, and it certainly
draws me in.
If Ricardo made a mistake in simplifying that expression, I'm going to say that
it was most likely in the process of removing the parentheses in the middle.
Now you understand that this is all guess-work, because of all the stuff that you
left out when you copied the question, but I think he probably forgot that the 3x
operates on everything inside the parentheses.
He probably wrote that 3x (x-3) is
either 3x² - 3
or x - 9x .
In reality, when properly simplified,
3x (x - 3) = 3x² - 9x .
<span>When to use the law of sines formula. You should use the law of sines when you know 2 sides and an angle and you want to find the measure of an angle opposite a known side. Or when you know 2 angles and 1 side and want to get the side opposite a known angle.</span>
The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:
Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet
Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:
Thus angular velocity is 16 radians per second
Answer:
x = 10 , 45 degrees.
Step-by-step explanation:
This seems a tricky one .
I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2
so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes
2 sin 3x cos 2x - cos 2x = 0
cos 2x ( 2 sin 3x - 1) = 0
so 2 sin 3x = 1
sin 3x = 1/2
giving 3x = 30 degrees and x = 10 degrees
or cos 2x = 0
so 2x = 90
giving x = 45 degrees.
